125380800 has 126 divisors (see below), whose sum is σ = 445684148. Its totient is φ = 33431040.

The previous prime is 125380793. The next prime is 125380811. The reversal of 125380800 is 8083521.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10047 + ... + 18753.

Almost surely, 2^125380800 is an apocalyptic number.

125380800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222842074).

125380800 is an abundant number, since it is smaller than the sum of its proper divisors (320303348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125380800 is a wasteful number, since it uses less digits than its factorization.

125380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8735 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 125380800 is about 11197.3568309669. The cubic root of 125380800 is about 500.5072186179.

The spelling of 125380800 in words is "one hundred twenty-five million, three hundred eighty thousand, eight hundred".